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Finding the Third Proportional to 166,822.13 and 393,639

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Solution

The third proportional to 166,822.13 and 393,639 is: 928,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,822.13 : 393,639 = 393,639 : x
  2. Step 2: Convert to fraction form
    166,822.13/393,639 = 393,639/x
  3. Step 3: Cross multiply
    166,822.13x = 393,639 × 393,639
  4. Step 4: Simplify right side
    166,822.13x = 154,951,662,321
  5. Step 5: Solve for x
    x = 154,951,662,321/166,822.13
  6. Step 6: Final answer
    x = 928,843.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.